Bifurcation of Solution in Singularly Perturbed DAEs By Using Lyapunov Schmidt Reduction

Authors

  • Ahmed Hameed Department of Mathematics, University of Thi-Qar, Iraq.
  • K. H. Yasir Department of Mathematics, University of Thi-Qar, Iraq.

Keywords:

DAE, Bifurcation, Singularly Perturbed ODEs, Lyapunov Schmidt Reduction

References

A. Panfilov, S. Maree (2005). Non-linear dynamical systems, Utrecht University, Utrecht.

Journal of Education for Pure Science- University of Thi-Qar

Vol.11, No1 (June, 2021)

Website: jceps.utq.edu.iq Email: jceps@eps.utq.edu.iq

Ali. Nayfeh (1981). Introduction to perturbation Techniques, Wiley, New York,

A. Neumaier (1991). Generalized Lyapuvon Schmidt reduction for parameterized equa- tions at near

singular points, Institut fu¨r Mathematik, Universita¨t Wien Strudlhofgasse 4, A-1090 Wien, asturia,

MSC Classification:58C15.

B. G. Celayeta (1998). Stability for Differential-Algebraic Equations, PhD Thesis, Universidad Publica

de Navarra.

Kuehn (2015). Multiple Time Scale Dynamics, Springer Cham Heidelberg New York Dordrecht

London.

E.M. De-Jager (1996). The Theory of Singular Perturbations, University of Amsterdam, The

Netherlands.

Eckhaus W. (1979). Asymptotic Analysis of Singular Perturbations, North- Holland, Amsterdam

Downloads

Published

2021-06-10

Issue

Vol. 11 No. 1 (2021)

Section

Articles

License

The Authors submitting a manuscript do so on the understanding that if accepted for publication, copyright of the article shall be assigned to Journal of education for Pure Science (Jeds), University of Thi-Qar as publisher of the journal.

Copyright encompasses exclusive rights to reproduce and deliver the article in all form and media, including reprints, photographs, microfilms and any other similar reproductions, as well as translations. The reproduction of any part of this journal, its storage in databases and its transmission by any form or media, such as electronic, electrostatic and mechanical copies, photocopies, recordings, magnetic media, etc. , will be allowed only with a written permission from Journal of education for Pure Science (Jeds), University of Thi-Qar.

Journal of education for Pure Science (Jeds), University of Thi-Qar, the Editors and the Advisory International Editorial Board make every effort to ensure that no wrong or misleading data, opinions or statements be published in the journal. In any way, the contents of the articles and advertisements published in the Journal of education for Pure Science (Jeds), University of Thi-Qar are sole and exclusive responsibility of their respective authors and advertisers.